CAT 2013 | Question: 4

Question

Let $\text{P, Q, S, R, T, U}$ and $\text{V}$ represent the seven distinct digits from $0$ to $6$, not necessarily in that order. If $\text{PQ}$ and $\text{RS}$ are both two-digit numbers adding up to the three-digit number $\text{TUV}$, find the value of $\text{V}$.

• A. $3$
• B. $6$
• C. $5$
• D. Cannot be determined

Answer 1

cannot be determined

Answer 2

Given that PQ + RS = TUV

We have two 2-digit numbers adding up to form a 3-digit number. The only possible values for V, considering the constraints of the problem, are those that result in a carry from the tens to the hundreds place when adding PQ and RS. The digits from 0 to 6 are available, then the only possibilities for V are 0, 1, 2, and 3.

However, without further information, it is impossible to determine the exact value of V. Hence, the answer is "Cannot be determined".

This answer is given by OpenAI